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math.PR2026
Rotated semicircle laws for permanental roots of Gaussian random matrices
Renjie Feng, Dong Yao
For matrices drawn from the standard Gaussian orthogonal ensemble (GOE) and Gaussian unitary ensemble (GUE), we prove that the normalized zero counting measure of the permanental c…
math.PR2026★ 3 cited
Smallest gaps between zeros of stationary Gaussian processes
Renjie Feng, Friedrich Götze, Dong Yao
In this paper, we study the smallest gaps between successive zeros of nondegenerate smooth stationary centered Gaussian processes on the real line with the assumption that the cova…
math.PR2026
Smallest distances between zeros of Gaussian analytic functions
Renjie Feng, Dong Yao
In this article, we study the smallest distances between the zeros of Gaussian analytic functions over compact Riemann surfaces. Our main result is that, after appropriate rescalin…